Divisibility + least common multiple (LCM) - practice problems - page 4 of 5
Number of problems found: 94
- School books
At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom? - Lcm 2
Create the smallest possible number that is divisible by the number 5,8,9,4,3, - Dining tables
In the dining room are tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - LCM
The common multiple of the three numbers is 3276. One number is in this number 63 times, the second 7 times, and the third nine times. What are the numbers? - Meadow
On the meadow grazing horses, cows, and sheep, together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are on the meadow togethe - Buses 4
Intervals: 1st bus 40 min. 2nd bus 2h 3rd bud 20min How long will it take them to meet - as soon as possible? - Biketrial
Kamil was a bike trail. Before hill, he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel do both wheels reach the same position? - Trams 2
Square passes two lines of the tram. One is running every nine minutes, the second interval of 15 minutes. Exactly at noon arrived two tram lines in the square. How soon should a similar situation arise again? - Apples 2
How many minimum apples are in the cart? If possible, is it completely divided into packages of 6, 14, and 21 apples? - 3 buses
Morning at 5:00 am, three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals, and the third at 25-minute intervals. At what hour will the three buses again come from the same place? - Buses
At the bus stop at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and bus number 9 at intervals of 9 minutes. How many times does the bus meet at 18:00 local time? - Trams
Tram no. 3,7,10,11 rode together from the depot at 5 AM. Tram No. 3 returns after 2 hours, tram No. 7 an hour and a half, no. 10 in 45 minutes, and no. 11 in 30 minutes. For how many minutes and when do these trams meet again? - Three buses
Three public transport buses depart together from the bus station in the morning. The first bus returns to the station after 18 minutes, the second after 12 minutes, and a third after 24 minutes. How long will again together at the station? Please express - Matches
George poured out-of-the-box matches and composed their triangles, and no match was left. Then he tried squares, hexagons, and octagons, and no match was left. How many matches must be at least in the box? - Ski tow
The ski club has 168 pupils and uses a lift with 60 seats, while students always follow the same sequence in filling seats. How often while riding a ski lift has the skier sitting in the same seat as the first run? - Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third, the fourth 4th day, and the third returned on the sixth. How many days after leaving, the steamers meet again in the harbor? - 9.A
Class 9A attends more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets mark 4. How many students of class 9A wrote a test to mark 5? - Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. How many parachutists jump at least should be, if at each group must all be involved. - Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop?
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